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Terminating fractions create a digital equivalent of fixed length (e.g. 1/4 = exactly 0.25). Non-terminating (repeating) fractions create a repeating decimal after a certain number of places, and do not have an exact digital equivalent (e.g. 1/3 = 1.333_).
(This occurs as a result of conversion to base-10 numbers.)
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Earn +20 ptsQ: What are terminating and non-terminating fractions?
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What is the definition for a non terminating decimal?
Nonterminating Decimal: A decimal that continues without end.For example:The square root of 2 = 1.414213562… Therefore, the square root of 2 is a nonterminating decimal.
Are all nonterminating decimals irrational numbers?
Not at all. 0.33333... nonterminating = 1/3 rational 0.66666... nonterminating = 2/3 rational 0.1428571428... nonterminating = 1/7 rational 0.55555... nonterminating = 5/9 rational
What fractions are repeating or terminating decimal?
All rational fractions.
Can terminating decimals be written as fractions?
Yes.
What fractions is represented by a terminating decimal?
12
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